arises in numerous physical situations such as water waves and optics [1]}, [2]}, [3]}. In this article, we consider its rogue wave solutions, which are rational solutions which approach a constant-amplitude continuous-wave background as \(x, t\rightarrow \pm \infty \) . Since this equation admits Galilean and scaling invariances, we can set the boundary conditions of these rogue waves as
\( u(x, t) \rightarrow e^{\textrm {i} t}, \quad x, t \rightarrow \infty ,\) 
